论文标题
改进了Bohr在简单连接域上定义的映射的不平等现象
Improved Bohr's inequality for mappings defined on simply connected domains
论文作者
论文摘要
在本文中,我们研究了BOHR现象,用于在复杂平面的一般连接域上定义的函数。我们改善了R. Fournier和St. Ruscheweyh的已知结果,用于一类分析功能。此外,我们研究了在包含$ \ mathbb {d} $的磁盘中定义谐波映射并获得BOHR类型不等式的情况。
In this paper, we study the Bohr phenomenon for functions that are defined on a general simply connected domain of the complex plane. We improve known results of R. Fournier and St. Ruscheweyh for a class of analytic functions. Furthermore, we examine the case where a harmonic mapping is defined in a disk containing $\mathbb{D}$ and obtain a Bohr type inequality.